Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
Answer:
So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.
Step-by-step explanation:
Answer:
i dont speak or type spanish
Step-by-step explanation:
By looking at it, I can tell the second expression is greater due to a a large postive number that's being added to it. Let's solve.
-12+6=-6-4=-10
-34-3=-37+39=2
So, -34-3+39 is greater.
Answer:
9/6
Step-by-step explanation:
1/4 is less than 1, so its not 1. 5/9 is also less than 1, so its also not 1. 14 divided by 7 equals 2 so that is not 1. 9/6 is the only option left :)
